Q: What are the factor combinations of the number 24,097,789?

 A:
Positive:   1 x 2409778917 x 1417517491 x 490792887 x 8347
Negative: -1 x -24097789-17 x -1417517-491 x -49079-2887 x -8347


How do I find the factor combinations of the number 24,097,789?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 24,097,789, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 24,097,789
-1 -24,097,789

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,097,789.

Example:
1 x 24,097,789 = 24,097,789
and
-1 x -24,097,789 = 24,097,789
Notice both answers equal 24,097,789

With that explanation out of the way, let's continue. Next, we take the number 24,097,789 and divide it by 2:

24,097,789 ÷ 2 = 12,048,894.5

If the quotient is a whole number, then 2 and 12,048,894.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,097,789
-1 -24,097,789

Now, we try dividing 24,097,789 by 3:

24,097,789 ÷ 3 = 8,032,596.3333

If the quotient is a whole number, then 3 and 8,032,596.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,097,789
-1 -24,097,789

Let's try dividing by 4:

24,097,789 ÷ 4 = 6,024,447.25

If the quotient is a whole number, then 4 and 6,024,447.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,097,789
-1 24,097,789
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1174912,8878,34749,0791,417,51724,097,789
-1-17-491-2,887-8,347-49,079-1,417,517-24,097,789

More Examples

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